In a heptagon, the sum of the measures of 4 of the angles is 478 degrees. What is the sum of the measures of the other 3 angles?

Answers

Answer 1

Answer: Given that the heptagon has a interior angles sum of 900, the 3 angles is 900 - 478 = 422 degree.

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How many 8ths are between 0 and 1

Answers

Answer:

There are 8 8th between 0 and 1

Step-by-step explanation:

Consider the following

$(1)/(8) +(1)/(8) +(1)/(8)+ (1)/(8)+ (1)/(8)+ (1)/(8) +(1)/(8) +(1)/(8) = 1$

Therefore there are 8 8ths in between 1 and 0

Answer:

Step-by-step explanation:

Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50a + 3.75b = 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?

Answers

10.50a + 3.75b = 2071.50
82 x 3.75 = 307.50
2071.50 - 307.50 = 1764
1764/10.50 = 168
10.50(168) + 3.75(82) = 2071.50
1764 x 307.50 = 2071.50

4x²+8x=1 by completing the square

Answers

First thing you do is subtract both sides by 1.
Then divide everything by 4, to remove the 4x².
After completing the square, you multiply the 4 back in.

Photo attached.
Hope the answer is right >-<
Have a Brainly day!

Determine the type and number of solutions of 4x^2-5x+1=0.A. Two real solutions
B. One real solution
C. Two imaginary solutions

Answers

4x² - 5x + 1 = 0
a = 4; b = - 5, c = 1
Δ = b² - 4.a.c
Δ = (-5)² - 4.4.1
Δ = 25 - 16
Δ = 9

x = - b ± √Δ / 2.a
$x = (-5\± √(9) )/(2*4)$
$x = (-5\±3)/(8)$
$x' = (-5-3)/(8) = (-8)/(8) = -1$
$x' = (-5+3)/(8) = (-2)/(8) (/2) = (-1)/(4)$

A. Two real solutions (x' = -1 and x'' = -1/4)

A toy rocket is shot vertically into the air from a launching pad 5 feel above the ground with an initial velocity of 80 feet per second. The height h, in feet, of the rocket above the ground as t seconds after launch is given by the function h(t)=-16t^2+80t+5. How long will it take the rocket to reach its maximum height? What is the maximum height?CAN ANYONE HELP ME ASAP!!!!
Thank you in advance

Answers

$h(t)=-16t^2+80t+5\n\nt_(max)-time\ for\ a\ maximum\ height\n\nt_(max)=- (80)/(2\cdot(-16)) = (80)/(32) =2.5\ [s]\n\nh_(max)-the\ maximum\ height\ above\ the\ ground\n\nh_(max)=h(2.5)=-16\cdot2.5^2+80\cdot2.5+5=-16\cdot6.25+200+5=\n.\ \ \ \ \ \ =-100+205=105\n\nh_(max\ rocket)-the\ maximum\ height\ of\ a\ toy\ rocket\n\nh_(max\ rocket)=105-5=100\ [ft]\n\nAns.\ t_(max)=2.5\ second,\ \ h_(max\ rocket)=100\ feet.$

For this case we have the following function:

To find the time when it reaches its maximum height, what we must do is to derive the function.

We have then:

We set zero and clear the time:

Then, we evaluate the time obtained for the function of the height.

We have then:

Answer:

It will take the rocket to reach its maximum height:

the maximum height is:

$h (2.5) = 105 feet$

A student bought 1 box of crayons and 5 reams of paper for $54. She bought 5 boxes of crayons and 3 reams of paper $50. what is the cost of each box of crayons and each ream of paper?

Answers

lets solve it using a system of equations, c is the price of crayons and p the price of reams of paper, so we have:
1c + 5p = 54
5c + 3p = 50
those equations represent the situation. Lets solve the system multiplying the first equation by -5 and adding it to the second, we have:
-5c - 25p = -270
5c + 3p = 50
---------------------
0 - 22p = - 220
22p = 220
p = 10
and now substitute in the original equation:
1c + 5p = 54
1c + 5(10) = 54
c = 4

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